ASVAB Math Knowledge Practice Test 301386 Results

Your Results Global Average
Questions 5 5
Correct 0 3.52
Score 0% 70%

Review

1

What is 7a6 - 8a6?

73% Answer Correctly
-1
-a12
15a12
-1a6

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a6 - 8a6 = -1a6


2

The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 3. What is the volume?

83% Answer Correctly
108
48
28
126

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 6 x 6 x 3
v = 108


3

Factor y2 - 12y + 27

54% Answer Correctly
(y - 9)(y + 3)
(y + 9)(y - 3)
(y - 9)(y - 3)
(y + 9)(y + 3)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 27 as well and sum (Inside, Outside) to equal -12. For this problem, those two numbers are -9 and -3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 12y + 27
y2 + (-9 - 3)y + (-9 x -3)
(y - 9)(y - 3)


4

If c = 6 and y = -8, what is the value of 6c(c - y)?

68% Answer Correctly
504
-90
-12
-560

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

6c(c - y)
6(6)(6 + 8)
6(6)(14)
(36)(14)
504


5

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

right, acute, obtuse

acute, right, obtuse

right, obtuse, acute

acute, obtuse, right


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.